Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height Calculator

✖Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder.ⓘ Height of Diagonally Halved Cylinder [h]			+10% -10%
✖Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.ⓘ Space Diagonal of Diagonally Halved Cylinder [d_Space]			+10% -10%

✖SA:V of Diagonally Halved Cylinder is the numerical ratio of the total surface area of a Diagonally Halved Cylinder to the volume of the Diagonally Halved Cylinder.ⓘ Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height [AV]

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Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*Height of Diagonally Halved Cylinder)
AV = (h+sqrt((d_Space^2-h^2)/4)+d_Space/2)/(1/2*sqrt((d_Space^2-h^2)/4)*h)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

SA:V of Diagonally Halved Cylinder - (Measured in 1 per Meter) - SA:V of Diagonally Halved Cylinder is the numerical ratio of the total surface area of a Diagonally Halved Cylinder to the volume of the Diagonally Halved Cylinder.
Height of Diagonally Halved Cylinder - (Measured in Meter) - Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder.
Space Diagonal of Diagonally Halved Cylinder - (Measured in Meter) - Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.

STEP 1: Convert Input(s) to Base Unit

Height of Diagonally Halved Cylinder: 8 Meter --> 8 Meter No Conversion Required
Space Diagonal of Diagonally Halved Cylinder: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (h+sqrt((d_Space^2-h^2)/4)+d_Space/2)/(1/2*sqrt((d_Space^2-h^2)/4)*h) --> (8+sqrt((11^2-8^2)/4)+11/2)/(1/2*sqrt((11^2-8^2)/4)*8)

Evaluating ... ...

AV = 1.1440593410189

STEP 3: Convert Result to Output's Unit

1.1440593410189 1 per Meter --> No Conversion Required

FINAL ANSWER

1.1440593410189 ≈ 1.144059 1 per Meter <-- SA:V of Diagonally Halved Cylinder

(Calculation completed in 00.004 seconds)

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< Surface to Volume Ratio of Diagonally Halved Cylinder Calculators

Surface to Volume Ratio of Diagonally Halved Cylinder given Volume and Height

LaTeX Go SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))*Height of Diagonally Halved Cylinder)

Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height

LaTeX Go SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*Height of Diagonally Halved Cylinder)

Surface to Volume Ratio of Diagonally Halved Cylinder given Lateral Surface Area and Height

LaTeX Go SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+Lateral Surface Area of Diagonally Halved Cylinder/(pi*Height of Diagonally Halved Cylinder)+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*Lateral Surface Area of Diagonally Halved Cylinder/pi)

Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal

LaTeX Go SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+Radius of Diagonally Halved Cylinder+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*Radius of Diagonally Halved Cylinder*Height of Diagonally Halved Cylinder)

Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height Formula

LaTeX Go

What is a Diagonally Halved Cylinder?

Diagonally Halved Cylinder is the shape obtained by cutting a right circular cylinder of finite height, diagonally from upper circular face to lower circular face, passing through the center of the cylinder. The planar shape formed at the plane of cutting will be an ellipse with major axis equal to the diagonal length.

How to Calculate Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height?

Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height calculator uses SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*Height of Diagonally Halved Cylinder) to calculate the SA:V of Diagonally Halved Cylinder, Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height formula is defined as the numerical ratio of the total surface area of a Diagonally Halved Cylinder to the volume of the Diagonally Halved Cylinder, and calculated using the space diagonal and height of the Diagonally Halved Cylinder. SA:V of Diagonally Halved Cylinder is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height, enter Height of Diagonally Halved Cylinder (h) & Space Diagonal of Diagonally Halved Cylinder (d_Space) and hit the calculate button. Here is how the Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height calculation can be explained with given input values -> 1.144059 = (8+sqrt((11^2-8^2)/4)+11/2)/(1/2*sqrt((11^2-8^2)/4)*8).

FAQ

What is Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height?

Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height formula is defined as the numerical ratio of the total surface area of a Diagonally Halved Cylinder to the volume of the Diagonally Halved Cylinder, and calculated using the space diagonal and height of the Diagonally Halved Cylinder and is represented as AV = (h+sqrt((d_Space^2-h^2)/4)+d_Space/2)/(1/2*sqrt((d_Space^2-h^2)/4)*h) or SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*Height of Diagonally Halved Cylinder). Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder & Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.

How to calculate Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height?

Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height formula is defined as the numerical ratio of the total surface area of a Diagonally Halved Cylinder to the volume of the Diagonally Halved Cylinder, and calculated using the space diagonal and height of the Diagonally Halved Cylinder is calculated using SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*Height of Diagonally Halved Cylinder). To calculate Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height, you need Height of Diagonally Halved Cylinder (h) & Space Diagonal of Diagonally Halved Cylinder (d_Space). With our tool, you need to enter the respective value for Height of Diagonally Halved Cylinder & Space Diagonal of Diagonally Halved Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate SA:V of Diagonally Halved Cylinder?

In this formula, SA:V of Diagonally Halved Cylinder uses Height of Diagonally Halved Cylinder & Space Diagonal of Diagonally Halved Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+Radius of Diagonally Halved Cylinder+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*Radius of Diagonally Halved Cylinder*Height of Diagonally Halved Cylinder)
SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))*Height of Diagonally Halved Cylinder)
SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+Lateral Surface Area of Diagonally Halved Cylinder/(pi*Height of Diagonally Halved Cylinder)+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*Lateral Surface Area of Diagonally Halved Cylinder/pi)

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